{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tensorflow as tf\n",
    "\n",
    "points_n = 200\n",
    "clusters_n = 3\n",
    "iteration_n = 100\n",
    "seed = 123\n",
    "np.random.seed(seed)\n",
    "tf.random.set_seed(seed)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tf.Tensor(\n",
      "[[5.65642001 0.84904163]\n",
      " [7.1946897  4.2310646 ]\n",
      " [5.13128154 6.6662455 ]], shape=(3, 2), dtype=float64)\n"
     ]
    }
   ],
   "source": [
    "points = np.random.uniform(0, 10, (points_n, 2))\n",
    "centroids = tf.slice(tf.random.shuffle(points), [0, 0], [clusters_n, -1])\n",
    "\n",
    "print(centroids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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35qrVSK2CnC9A+TRi2Fjri3qredFxzrVZlqB/eIpj5yZ5/tAgSMENaxdzfm/bnGOMx1N1vTxZR3QtI81FjOZFy84xS+lrpNY8npdho2qTV7U4wlqcer5r23tsmNHpFO9e1j3nTTQL2qIcOj3O3/xgH9GQpXw+2A2aLbozzKchBNxPIatHkL0IG52kKry6XtU6wnpytznXdm4yycK2ljniDdmc+OHT41ywqJ0Ll3dU9Td1x0wKGrQX8CBm4esRZDcnGp1MXnl5vap1hMWcesa2SWZsjg9O8dN9J7l5/XlFB5VSxxiaTJLM2CzqaJnzucr5YKeYSUGD1gIe5Cx8kJUf9U5eeX29qnWEhU59PJ5iz7FhEimbqWSa779ynN/0jxQdVEod4+x4gmjIordAwEHtfLBTzKRgc6P1Xc4JWf6DDFkhG5tOcej0eEAt85Z6J6+8ul65yciXj57jhjWLkGQXZgwMT9M/PIVliTmOMN9FZ2ybPceGkRK6WiO0tYQ5v8zEZ+GkZu4YrdEwa5Z2zEutQOPng82kYPOipQPP5XCff2OQkakU53XbhK25nbaRXVe9k1deVC0US8m0t4S55fLlRCxR1BHmu+hkxiaRsulqjRBPZWgJZ110aEagi0UTxVznqt42vvazQw2XD1ZtotqgFtoJeL5gjEwlOXxmgqHJBBv6euiKRWZ/rxFcV6mHt97JK7erFsqlZHYeHiyZksnP3R4fnGIqmQYBLTMLb3IuutygUiyF1Wj5YJ1WWRqCQSsBLxSMZd0xhiaTxFMZ9h4b5vqLFxOyBCNTSdpbwqQyNs8fGtTSuVR6eOsRK7erFpwsJMm56J/uO8n3XznO+T1ts847R62DSiPlg3VbZWkIBq0EvFAwQpbFVX097Dk2zLnJJAdOjrGgLYJlZRMF//zrd7R0LtU8vPWIldtVC05TMtGwxc3rz+M3/SPYtpwj3vUOKqptK1AvOq6yNPiPVgJeTDA6YxGuv3gxB06O8p5VPVxzUS8/3DsAMM9l6uJcqn146xErN12qGykZUwpXHF1XWRr8RSsBLyUYIUuwoC3K+9YuBmAikXbFuTiZQHLyXa8fXrdcqlspmUZKfbiFWWVpqAatBLwawfj10SFXxM/JBJLTySfVHt5Sg5Gb7lm31IfXg7tZZWmoBq0EvBrBcEP8nEwguTH5pNLDW2kwakb37MfgblJLhmqo+4089eDWG3nKvb2knjfgFOLkzSFuvXVEhRIyN66l0+N7XQO9bds2Nm3axObNm6tu04PPHOTIb15m+J0D/OctfwZUd028fjuTIXi86rNevJEnMMqF2244Fyc5aLfy1yo42yArIfwawDZt2sSWLVvYvn17VSJ++PQE+3f9imf++6e447MPz35ezTXx+u1MhmAJwnRpKeCVcCp+TtIwbuavg354g6qE8LMGevPmzWzfvr1qEX/257/g3x7+FP/t8w+z5sqr5/zM7cHdrMLUh6Dq9htSwMGZ+DnJQauUv3aKF5Op1YiS386/UMSvveF9Rdu4Y8cO/va+P+OWex+aJ97g7uCuQgrNUD1BRasNK+BOcJKGaaTJp/zBqCMW5txEkulUhnTGZmFHS82DUbWiFITzz4n4H922hY/ct43eNRvmtHEdx/nkH3+C737vX/j19LKqBujCwWpVb1tVg7tZhakfQUWrRsBL4CQNo0L+2g1yg9HDzx7ixTfPkszYCCASsrhqVZjBiUTVbrAWUQqqjPLaG97HR+7bxpPb7ufOz/0uRbL35RfY9uUH+MFTT/J7N93IZTMDUbkButRg9eHLl/OT354o+12zClM/guqzRsDL4CQNE3T+2i0WdURpi4R417IuIpYgFg3R297CeDxVkxusRZSCSkMdPj1B75oN3Pm5h3niS/fOTlI+/ZUH+NA9D7F8XbYIoNIAXW6w+slvT3D/By/h7aHJkoO7WYWpH0H1WSPghrIcPj3BRCLNRYs75nxeqxusRZSCSkPl2rjmyqu547MP882tdwLwF9sep23VFXPaWG6ArjRYvT00WfaaqbaQy1CZoPqsEXBDWdxyg7WKUhBpKLeE0+k1a6SJ8GYiiD7bEAJuyq28oxZRK3cf6hElv9NQuTbuffkFnv7KA/zFtscBePzv7uW2rV9l7ccur+rvOB0IGmkivNnwu89qL+Cm3ModcuJ7eizOeDxNZyzM0q5Y1ZUTle6DDqLUEg6xjuNs+3I259226gokktu2fpUff30rL167uqrFPm446EaZCDd4i5ZL6XMEvdS7UciJ76nRaQ6fniCZsYmGLNYs7eS87ths5UQpca7lPqi8NHzHjh1s2bKF73z3X1i+buOcNr6487mKdeL5GGNhcJOGWkqfw5RbOSdXMZFK25wcjdPeEqY3EiKeynBydJpFHS0VKydquQ+qVufkxLvUasxKdeKFwmwctMEPtO5NptzKOTnxzdiSRNomFsk6yVgkRCJlk7ZtxqZTs5UTxd58rvt9qCTeOfLrxKff+S0relpZ2dOGbUse3XmUZNqe8/vmbfEGr9G6R5lyK+fkxHc6laHYpYwnMxVFWOf7UE68E+kM+wdGef7QIPsHRnntxOicOvHDr/4ayEYaY9MpDp0eD+IUPKHw3BPpTNBNMhRB6xSKKbdyTk58WyMhipnoWDREMm2XFWGd78OuXbuKinexHPZ4PEXYsmbrxI8f2je7WlOHSKNaTP5eH7R24LnKBssS9A9PMTA8Tf/wFJYllKlsUJ2c+IYsQUvYIp7KOq14KkNLxCJsWRVFWOf7sHXr1qLOO38lZS5VEg1ZHDo9TsaWrLny6tm9wEH9SKNaSp17qTSRIVgcOXAhxALgUeAysgH4H0spX3KjYaUoVmscxGRRo9Se55f3LeuOcfj0BMNTydkqlHCoOhFupEm7UpOyqxa1c/DUOG8PTc5ZmapDpFEtpjBAL5ymUL4B/A8p5R8JIaLA/NfQuEi50M7PTtVoIWa++A6OxRmNp+mORVjc1VKTCKtaYVIrpSZlw5bF2qWdpNK2srXsTtF9QrrZqFvAhRBdwPuA/wYgpUwCnt1dVbbYVKUdbjMrvg0gwE4pNynbGg1x+9WriIQsZSMNJ9GhzhPSzYgTB34hMAg8JoS4AngFuEdKOZn/S0KIu4G7Afr6+uo+mCqhnSrtMHhHpUnZS5erWxLoNDrUeUK6VkoNdDqlR50IeBi4CvhLKeXLQohvAJ8GPp//S1LKR4BHILsSs96DqRLaqdIOg3fosOy/GG5Eh7qee61U2q9dl/SoEwHvB/qllC/P/Pv7ZAXcE1QJ7bxsh04jf6Oj46SsW9FhNederK/m2qB6/y010J2bTPD5H+7jqr4ebdKjdQu4lPKUEOK4EOISKeUbwI3A6+41bS6qhHZetcOLiVEzIDhDt0lZN6PDcuderK9aVvbIGVsq71xLDXRpWzIRTzM4kWAikaY1GqK3Pap0etRpFcpfAt+ZqUA5CtzlvEnFUSW086IdXkyMNlqljKEyfkSpxfpq2rb5xYEzICQ3vus8QlZ2EFHVuZYa6M5NJjk3leT1gVE6YhEAWiIWV/X1KJsedSTgUspXgXk7ZHmFKmGt2+1we2K0UStlDOXxI0ot1lfPTSSzq3ilYGgywZLOGKDuxH6xgS5j27x1Nlt/0d0Wpb0lK43xVIY9x4a5YFGHkhU42iylL0wHvPfChYGmA9wMr2sNfSulRvyqlDEpGrXwI0ot1lfz99GJJ+fumeKmc3WrvxUb6IYmk6RmNnMTeacXi4Q4O54gY0slK3C0EPBGTwfUEvpWcy38qJRR7Z7oOpi43W6vo9RifXV2Hx2Z3TsnH7dSN272t2ID3amxaUKWYPO7lnD49Dhj8VR2UBIgBGy+ZLGSUavyAt4M6YBqQ99qr4XXudBq2+GXqKo2mFSLV+32cvK1WF9d2BGdETtJb3vL7O+6lbrxQgMKB7qhySTPvXGG5d2tLO2MMTSRIJ7KEJvZG3+Ngu4bNNjMKpcOyBc2aKwtPKvdDKraa5H/kOXj1gNVTTsGRqZ58JmDPPbiW/zo1RM89uJbPPjMQQZGph0duxBdN1/Std3F+uqp0TiXrexm/YoFnByddn0zM680IH+/9pvXn8eC9igjU0lClmBJV4y+3naiYYsFM1GMiijvwJtl4Uw1oW+118LrXGildpwZi/PUnn5foiY/V8a6GVHovKK3VF8FPEnd+KEBqlS51YryAq7KAh4/qBT61nItvMyFVmrHWDztmzj5NcC7ne7Q3ZiU6qteDDp+aYAqVW61oLyAq7KARwVqvRbV5kJrdZaV2tEVi/gmTkHVPkP1EUWx69tMxsQpfmqAbou3lBdwXUMbL/DiWtTjLCu1Y3gy6Zs4BVX7DNVFFKWu7x3XrGo6Y1JvCspoQGmElHXvL1UzGzdulLt3767ru8m0rVVo4yVuXYtEOsODzxzEtuU8EbEsUdFZlmqH079bK15XoTx/aJAfvXqCFT3z/9bA8DQfvXI5N6xdPO9nla7Dndeu5vFfva1d9Uw9uHGPqun3upaTVkII8YqUct6iSeUdeA7dQhsvcetaOJ1IK9UOvx1TELXPOcpFFJWu70Q8rV3OtR7cKgOs1O91LSd1gjYCbnAfLyfS/J4QKny4c29Vd8OJVZOmKeb8qrm+zWBM/Ki48XK9iMqu3gh4E+P1RFpQ4uS2E6sUUQxOJIoe74Y1i8xEJf5U3Hg1SKju6o2ANzE6VvhUckNeObFSEYVEzua5C4/3yzcGaW8Ja3V9vcCPihsvBolcX0qlbaIhi+lUhtZIiFTaVmYVuBYCrnIIozO6ze5X44a8DNeLRRT7B0bLHu+Wy5ez8/CgFtfXK/wwCl4MEodPT3BqdJqTo3ESaXt2b5SWsMWy7pgSi62UF/CBkWm+9dwR+oenSKVtImGLlT1t/Pn7L1IihNEdVRcvFA7aq3rbqnLWfi+QqXS8yEzVjWrX10/8MApeDBKnx+IcPj1Be0uYrpn9wSG7xezh0xMMjsUDfwm40gKeSGd4+NlD7O8fnd3tDAEnR+JMpzJ86db1TfUgeIVqE2nFnHYqI0llMqxd2jXndwudtd8LZKo5nmrXNwi8NgpeDBLj8TTJjE1vZG60H4uEGJ5KMhpPu9J2Jygt4K+fGGPvO8O0t4SJ5V3EeCrD3neGee3EKBv6egJsocFtSuWwXz8xyltnJ7locefsG19y5Dtrv/P6Os4jBIXXA5nbg0RnLEw0ZM3uSpgjnsoQDVl057nyoFDavu7rHyWZsedcPMiOgMmMnXXmhoai1M5zizpbSGZshiYS876T76yr3dnRLfw+XiOTK/18/tAg+wdGSaQzlb9UQP4Og5et6HZ0/Zd2xViztBMhYGw6Nfs/IWDN0k4Wd7VU/iMeo7QDB0pkF2c+L/VDh5hJ0+AolVPubY8SDVmcnUiwpCs2+3kxp+t3Xl/VeQSdULFcb83SDs7rjrGoo4W0bRNPZohFQ4Qti3BIKBFdKS3gl63sIlIihImEvAnHVOxIzUSpnHLIsliztJNwSFSV4/Q772zy3PWj6ktb8vPqU0mbkGWRTNvEWkPKRFdKC/ily7u5alUP+wZG5m5wLyRXrerh0uXuPjCqdqRmolxO+bzuGPd/8BLeHpo0TreBUHlvdNWjK6UFvCUc4p6b1vLIc0foH54mmc4QDYdY2dPK3e+/yPWLqHJHahYqVRN0xMLmHjQYqu+NrnJ0pbSAQ3YE/Owt7/ZlBFStIzVrLl5116M7qvUrszd6/Sgv4ODfCLiwPUpG2pwZjzOdzNAaDdHbHiVkWb53pGbPxavsenQmv1/t+tdvs/SiS7ls07U19asdO3awa9cutm7d6kqbTClm/RhLk0d7S5g3To3zH0fP8capcV49NsILb55lYHjK146k6wtvDWpT2K8uu/Iqnvnvn+LIb16uul/t2LGDLVu2sGnTJtfaZUox60cLB+4HiXSGJ156m3XLujgyODG798F4PM3rJ8f4f/7n9/jWkZoxF69aWN+IFParNVdezR2ffZgnvnQvN//VQxy6amXZfpUT7+3bt7N582ZX22bSZvVhBHyG/M69rLuVoYnEbPliPJVhIuHfstn8XHzatjk3kZzdCc228SwXH5SINnu6yC+KzfHkRPzbX7yX67+nVtgAABqSSURBVC9exJr/+gdF+4CX4p3DpM1qxwj4DPmdO2SJOYtFBoanfZ3AzE3qjMVT7D02PGcntFTa5iNXLnP9mOVEdFFH1DNhN6Wb/lFqsnDNlVdzy70P8YV7/4y9x0foXbNhTh9Yx3E++cef8FS8DfVhBHwGlWbC1yztoL0lzK+PDBENW7M7ocVTGUDy3BuDXH/xYteErZyIfuPZQ8QiISYTaU/ccTOmi4Ki3GThuvdcQ/Teh/jeQ3/Nh+55iLVXXs3Cjhb27foV2778AD946kkj3grS8Nam2v0V8jt3PkHMhLeEQ3zgkiWkMjbJtD1nD4ZrLlzERCLNodPjrh2v1P4jnbEwe94Z5txEwrPJVNVKNxuZcpOF61d0cbr9Itbf8QV+/PWt/HzHL/jhT/+dp778AB+65yGWr5v3Pl2DAjS0A68lt+r2dpRO88lhS7B+5QJiEWt2D4be9hZClmBsOu2qsJUS0aHJJKmMTSQ099zddMcqRT7NQLHJwtW9bfz19t8gJVyw/j/Rfvff8cuv/yUA1/7VNzj/3ZvMQKoojgVcCBECdgMDUsoPO2+SO9STW3VrJtyNSbmF7VEsAUs6Y/N+5rawFYpoxrYZmkzyztkpkjMv0SjELXdsaoD9p3CycP/AKBlbFu3nqYzNSDzpyUBqKo+c44YDvwc4AHRV+kU/qTe36nQm3K1JOT+FLf9YIUuw59gwiZTNeDzFRCLNwVNj895K4tYg4udr3bwUDJ3F6Nxkkq7WMEOTFv2v7eKVx77AB+77vwF48ZHPsaTz/2Lt7e6mUEzlkTs4EnAhxErgFuBLwF+70iKXCCq36taknJ/CljvWt547wvOHBpFkB7Lejha6WiMk0zZ7jw1z/cWLCVnC9UHEjxpgLwVDdzHKRnuCnpHDPPPY/84Vd/wfxPouB+CyT3yBF771eV78vXe5NonphsnRecB0E6cO/GFgK1DySRZC3A3cDdDX1+fwcNUTVG7VzYHDz8UNKxa08ocbVtA/PEV3LEIsEqK3o4WpZJo9x4Y5N5nkwMkxFrRFPBlEvKwB9rJUsRHKINcs7WDo8F6e3HY/d33+G/RcvIF4MkPKlrz3gg9y3f90uas14E5Nju4DppvU3bOEEB8GzkgpXyn3e1LKR6SUG6WUGxcvXlzv4WomqKoStwcON98wUonxeJqFbS309bazpCtGyBJ0xiJcf/Fi1izp4D2rerjrugv4zM3rtHpQSlXZLGiLMjadclTR4+Xf9otf7XyeH399K7dt/Srtq68glZZYlmBxZwt3v/8ifu+mG9m+fTtbtmxhx44djo/nxOTotM2EG28YqoQTB34d8AdCiA8BMaBLCPHPUsrb3WmaM/xMQeSj86Rc6ZcpCBa0RXnfzCCiG16m03Qvg8ytsPz+k9u57ob3l4z2Nm/ePCviTp24E5Ojy7oBv6KEugVcSvkZ4DMAQogPAA94Jd715ruC2F8hqIHDDXQefMrhZTrN6d8OMpdbbHl8OfFzS8Sd9DMdBkw/02rK14E7HcmC2F9BxY15CoViVW8b7wxNzRMOXQefcng5MDn520Hncnft2lWzEOdEfNeuXXULuJN+psO6AT+jBCFl8YvhBRs3bpS7d++u+vcT6QwPPnMQ25bzHg7LElpMEKlAoVBMJtO8MzTJqt422qORecKRTNvzFnq8XUTsdUK1KhTTt5nXz6oxOTpct+cPDfKjV0+womf+vR8YnuajVy7nhrW1zQcKIV6RUs6r5VTageuS71KZwnAuY9u88OY4tpScHI1z/cWds6WB+eFd7roOjEzz1Z8dmidOd1yzmslEWhtR9zIqqudvm75dX3SsQ5ToZ5SgtID7me/Sua60XNsLhWJoMkkiZdPdGmUsnmJoIsGSrlhR4SiVy+sfnuKT33mFS87rIiT0KePyMp1W69/WIZerKiqmKPPxcy5JaQH3ayQLOhfphEptLxSK6WReKZPM7XCYpVA4irnEtG1nX3iRsolFrNml/jrVPauADrlclVFh7/BSxsnPKEFpAfdjJNN5IUY1bS8UitZoXlQhIBb53b8LhaOYSzw3kSSRtomGs5ts5Wim0L8UtURxjVrx0yxUMk5+RQlKC7gfI5nOuchq2l4oFL3tUVoiFqPTydnVllBcOIq5xOlUhtxHsehccWrm0L/WKE6HXK6hONWaPj+iBKUFHLzPd+mci6ym7cWEYll3K+8MTbKsO8ap0XhJ4SjmElsjIZIZm85YmAWtUc6MxWdf95a27aYM/euN4lTP5RqKo5LpU17Awdt8V5C5SKcTp9W2vfge0O28PTRZVjiKiX/atmkJWyzvjvHS0bOzr3tLZrKfd7Ro0aVcxckDrUIutxCdJ/T9QCXT13xPWwFB5SLdmDitpe3FhKIa4Sgm/tGQxb3f20siZc+KfmcszMWLO3j8pbeVnjfwApUeaKfoPKHvFypNQDfPU1aCcq+Z8ioX6daGPH61vXBDrWTG5pLzunjvhQt513mdXNm3gOsvXsyKnjbPNnDyY2OgelHpgXaCThtFBYlKr19segcO/uci3cyhOWl7vaHyuckkISFmSwizb/BJMJ3MMB5PcWYsDi6mBVR3hY1SUaJSbldlVJqANgI+Q7W5SDfyg26H3PXkUZ2IYr7jHI+nZt/gAzCZTPODVwe4ZFmXK+KqQ5mnSg+0ExopFeQ1qkxAGwEvoJxAu+UEgw65nYpiznGem0ywb2AUKaGrNUI8laElEqU7FnFNXHVxhfU80KpNFgbdL3VDhQloI+B5lBPoRR1R15xg0CG3U1HMOc6HnjnIuckk7dHwbBXKhr4eumIR18RVJ1dYywOtYloo6H5pqB09YjsfqDSB8/qJMdfevBLExGk+bojiigWt3HrlctYs6cxOZK7MTmTmXnzslrg2oisMerKw1IRw0P3SUDvGgc9QyZXu6x911QkGmUNzSxSzm2BF5l2zWv9OORrRFQaZFlJlCbjBHYyAz1DJlQpw3QkGlUNzSxT9ENdGmSDMJ6i0kEpLwA3uYAR8hkqu9LKV3RwdmmwIJ+iWKPolro3mCoNKC+kyIWyoHq0F3M1Z/Epu8tLl3SzpijWME3RLFP0S10ZyhUGlhXSaEDZUh7YC7vYsfjVustGcoFui2Eji6gdBpYUacUK42VH6nZil8PK9ePW8p89gqAe/+5oO75M0FEfLd2KWwstcnnGTBr/wu6814oQwqLcgyk+0FHCTy2sumvkBdRuv0oBB3SMVF0T5iZYCbnJ5euHk4W72B9QL3Hb+Qd0jHfbJ8RotBbwRF3c0Kk4ebvOAqk+5e/St547whxtWMB5Pe+LKdSiL9Doy0VLA/czlmfC9PhLpDK+fGOObvzxCNGyxureNkJW9L9UKsA4PaLNT6h5ZlmDnoUEGhqfpaYt64spVT6X6EZloKeDgT/2xCd/rI3fd3hma5M0zE7RHw/QPT3FVXw+dsUjVAqz6A1qOZhn4i92jtG2z99hwdpfKWJgVPdlnxe3ISeVUql/Ro7YCDt7O4pvwvT7yr1tXLEJ7NDy71eyeY8Ncf/FiQpaoSoBVfkDL0UwDf7F7dG4iSSKdfd1eLPq7QcvtyEnlVKpf0aNRoBLkboAbuw82E/nXrTUSImfOomGLkakU+wdGOTMeJyMrv8FepVdXVUvQOw0WtsXr19AVu0fTqQzJtE1LxKK3vWXO77sZOam8e6Jf0aPWDtxLdA7fgyT/ui3siNISthiLJzk3mWI6mcG2JcfPTdESseiIle9+OtYtq5K39ysKKHaPxuIpBHBVXw8ha+4z5HbkpOqLNPyKHo2Al0DX8L0SXnfe/OsWtiwuX9nNT/edIpORCLKTW52tYS5a3MHjv6r8Bvv8B/TMWJyxeJquWJjhySSLOqLK5ZVVGPhLpf+GJhI8+MwB/vDKlSzpanHt3heKaEcszA/3DpCx5z4/XkVOKr5Iw6/0jhHwEqicX6sXPzpv4XVLpSWLOqJk7OzLjzeuXsiSzhihmbC3GkcaDVv0tEd5ak+/8nllFQb+YlHAWDzF/hOjnJtMMpVIs6At6ur1KxTRBW0Rvv6zwxwZnKAlbNHVmp28DjJyqmZeSyJdMTh+RY91C7gQ4nzgCeA8wAYekVJ+w5VWKYCO4Xs5/JqULbxuZ8biTCcz9LRHuapvEZ0zb+yB6h2pThPKKgz8hVFAflVIezRMVyz7Eg6vrt/AyDRPvPQOIZHtD4l0hrQtufPa1YEOtpXSWy+8OcjOw2ddMwl+VMo5ceBp4H4p5R4hRCfwihDiZ1LK111qW+A00u6DfuZm86/b3neG+eWhQdYt66o7H6pKXrkaWsIh7rhmNV/72Rsz7jNEZyxMT7t/7rMwCshVhXTFIiTT9mxliBfXL3+w7ettn/18ZCpZVcrMS8qlt2wbvvcfxzmvO+aqSfB6v5u6BVxKeRI4OfPf40KIA8AKoGEEHBpncyu/c7O567ZmaQdHhyYZj6fqdqQq5JWrJes+3yZsWbSELRLpDO0yzJ3X+Oc+C6OA6VQGJMRTmXmVIW5fPy8HW6fzN+XSW6PxbB8rVnWmmknIx5UcuBBiNbABeLnIz+4G7gbo6+tz43CGOggqN+tGKkqFvHI1zHGfC9uArIiNTCV5/CX/3GfhNR+Pp5lMpmmJROdVhrh9/bwabN2YvymX3gpbgvaWSNHvqWYS8nEs4EKIDuAp4F4p5Vjhz6WUjwCPQHY/cKfHazT8WrEXZG7WaSpKhbxyNaiU6ims3vnhqyfobo3MmYPw4vp5Mdi6NQdSzkx8/L2r+LffnnC13X7gSMCFEBGy4v0dKeXT7jSpefBzxV7Qk7JOUlFBt71aVEv1zF7zFd1csqzLl+vnxWDr5sBYykxIJDsPDypvEgpxUoUigH8EDkgpv+Zek5qDICordJ6U1aHtKqd6/Lp+Xgy2bg+MpcyEDiahECcO/DrgE8A+IcSrM5/9jZTyp86b1fgEFW7rPCkbdNvLpbsS6QypjM14PM2RwYl5uy+q4OLquX71pPjcHiz8Ghh1MAmFOKlCeQFKDIuGiqgWbhvKUy7dBcz+LGwJDp4c4+DJMdYu7aQ1GlLexZXCSYrPzcHWzzmQoE1CrZiVmAGhcrhtmEullxZA1snkfnbh4g7ePjtBMmNz+9UXcunybu3EW6XFU7rMgQSBEfCA0KWywlA+3bV/YBSJZP2KBbOfhyzBRUs66R+eIhKytBQYlSpqQM/0hh8YASeYzfeNq9CHcumuRDpTMo+ocypMxRSfbukNP2h6AQ9y833jKvSgXLqrJRxqyFSYSfHpQVMLuJ+7k5XCuAr1KZfuyn9dWCOlwpohxdcIr71ragGvvDvZWXYeHlR+C1ODt1RKdwGzP7Pt7L4aYUvw8feuKuliVafRU3yN8to7IaV/HWzjxo1y9+7dvh2vEs8fGuRHr56YdVH5HDs3yWQizbLu1nkOxLKEUluYGsrjltNKpu2S6a5k2uaFNwf53n8cJ21nxcASaCkK+ZQ7Z11JpDM8+MxBbFtq82wLIV6RUm4s/LypHXi5PN/YdBqJ1G53MsNc3HRa5dJd2aXYZzmvOzZPFOotu1MhxG/EFJ9qFTZOaGoBL5fnC1mCjqh+u5MZfoeftcxui0K9A48Koq86KlbY1EtTC3j53cnO599+e7Lo98wsvB746bTcFIV6B55Gyet6TSNV2DS1gEOl3cnONvQsfKPjh9Patm0bmzZtYvHaq2oShR07drBr1y62bt067/frGXhUWjmpOo1UYWPuKL/L892wdjGXrcgue865c2vm5bsDw9P0D09hWaLsLHwinWH/wCjPHxpk/8AoiXTGl3MI6rgq44fT2rRpE1u2bGHgwK5ZUcinmCjs2LGDLVu2sGnTpqJ/s56BJyf6xeZsxqZTHDo9XuupNSz1Ptsq0vQOvBy1LrQJKoQ1oXNx/HBamzdvZvv27WzZsoV/+Kf/lwPW+WXL7nLivX37djZv3lz0b9Yz8DRSXtcPCl94MRZP0xWLMDyZZFFHVJt5A20EPKjJmWpn4YMKYU3oXBq/apnzRfw73/0XFl2xgdcGxpAS1q/sZlFHVnCrEW+ob+BppLxuMbx4/qNhi572KE/t6dfW/Ggh4Do4zKBKkxqpJMoL/NquICfif3TbFj5y3zZ612xAIPhN/whdrRHWcZxP/vEnKoo31Dfw+J3X9dNQefX8e2V+/Lw2ygu4Lg4zqBDWhM6V8auW+dob3sdH7tvGk9vu587PPcyaK68GYO/LL7Dtyw/wg6eerCjeOWodePxcOemnofLy+ffC/PhtNpUXcF0cZlAhbKOHzn7hhms6fHqC3jUbuPNzD/PEl+7ljs8+DMDTX3mAD93zEMvXzVtIV5ZaBx4/og2/DZWXz7/b5icIs6m8gOviMIMqTWqkkqigqMc1FRP8XF9dc+XV3PHZh/nm1jsB+Ittj9O26gpf+qrX0YbfhsrL599t8xOE2VRewHVxmEFt/tPomw6Vwq08Yz2uqZTg37BmkRZ91Ql+Gyovn3+3zU8QZlN5AdfJYQa1v3ez7SvuZp6xVtdUTvB/+cYg7S1h9r78Ak9/5QH+YtvjADz+d/dy29avsvZjlzs4azXw21B5+fy7bX6CMJvKC7huDjOozX+8Oq5qe2u4nWes1TVVEvzl00d56svZnHfbqiuQSG7b+lV+/PWtvHjt6qonMWvFj/uUSGdIZWzG42mODE6wureNkJW91l4ZKq+ffzfNTxBmU3kBh+ZzmKqg4oZKbucZa3VN5QT/+P7d/OPff5ofPPUky9dt/F1f/djlvHjt6qpqwOvBj8qH/GOELcHBk2McPDnG2qWdtEZDnhoqN57/cn3SLfMThNnUQsChMbe1VBlVN1RyO89Yq2sqJfiHX/01P3n4f+PvH32C37vpxnk/z1/s46aI+1H5UOwYFy7u4O2zEyQzNrdffSGXLu/21FA5ef79LO3z22waC2soSj17axQ+6Ct6WlnZ04ZtSx7deZRk2nbcLrfzjLXui5Ev+DkOv/prHv+7e9nyqa9x+8duKXmsfBHfsWNHTe0shR97oBQ7RsgSXLSkk85YhEjIUjYa9qNPFlJsbyWvUPOqGwJH1Q2VigkoOMsz5lzTXdddwEevXM5d113AZ25eV9SdFQr+Szuf59tfvIfbtn6VL33y4xUfVrdF3I/KB11KeYvR6Jt8aZNCMfiLqhsqeZVnrCVEzw+T/2HX0/z9o09w+8duqfrYORHftWtXVamUcvlbPyofdCnlLYbOg081GAE3FEXlDZVUmNTOCf43v/y3dX1/8+bNVYl3pfytH5UPOpXyFqLz4FMNJoViKEo9eyZ7kd4ohZ95xqCoJn/rx97WOu+fvaq3jWTG5rUTo5wZi5O2szlvHQafamjqt9IbKlPrW8l12DlSF/YPjPLYi2/NK5kE6B+e4q7rLphN+/jx9njd3lCf64unRuMcPj1OMmMTDVmsWdrBed2tWvVJ81Z6Q12ouKFSs1BL/rbYfXK7Hl+nUt786GXt0k4uWtzB0GSCs+MJIqEQ93/wEjpi+suf/mdgUA6dHnSVcZK/bfZIqHDBV8gSLOmMsaQzRv/wFG8PTTZEH3Vki4QQvy+EeEMI8aYQ4tNuNcpgMNQ/pxBE7bNqNHr1SY66BVwIEQL+AbgZeDfwX4QQ73arYQZDs1Pv5GGj1z5XQ6NXn+RwkkJ5L/CmlPIogBDiX4CPAq+70TCDwVDfnEKzuM9y6Fz6WAtOBHwFcDzv3/3Afyr8JSHE3cDdAH19fQ4OZzA0J7XOKTSL+yyHbruY1osTAS82xM/rNVLKR4BHIFtG6OB4BoOhCprFfVaiGSqinAh4P3B+3r9XAiecNcdgMDilWdxnNTR6RZQTAd8FrBFCXAAMAB8H/qsrrTIYDI5oBvdpcCDgUsq0EOJ/Bf4/IAT8k5TyNddaZjAYHNHo7tPgcCGPlPKnwE9daovBYDAYasDEUwaDwaApRsANBoNBU4yAGwwGg6b4up2sEGIQeKfOry8CzrrYHB0w59w8NON5m3OunlVSysWFH/oq4E4QQuwuth9uI2POuXloxvM25+wck0IxGAwGTTECbjAYDJqik4A/EnQDAsCcc/PQjOdtztkh2uTADQaDwTAXnRy4wWAwGPIwAm4wGAyaoryAN9t7N4UQ5wshdgghDgghXhNC3BN0m/xECBESQuwVQvwk6Lb4gRBigRDi+0KIgzP3/Jqg2+Q1Qoj7Zvr2fiHEd4UQsaDb5AVCiH8SQpwRQuzP+2yhEOJnQojDM//f4+QYSgt4k753Mw3cL6VcB1wNfLIJzjmfe4ADQTfCR74B/A8p5buAK2jwcxdCrAD+CtgopbyM7E6mHw+2VZ7xbeD3Cz77NPBzKeUa4Ocz/64bpQWcvPduSimTQO69mw2LlPKklHLPzH+Pk32gVwTbKn8QQqwEbgEeDbotfiCE6ALeB/wjgJQyKaUcCbZVvhAGWoUQYaCNBn0RjJTyeeBcwccfBR6f+e/HgVudHEN1AS/23s2mEDMAIcRqYAPwcrAt8Y2Hga2AHXRDfOJCYBB4bCZt9KgQoj3oRnmJlHIA+ApwDDgJjEop/z3YVvnKUinlSciaNWCJkz+muoBX9d7NRkQI0QE8BdwrpRwLuj1eI4T4MHBGSvlK0G3xkTBwFfBNKeUGYBKHIbXqzOR8PwpcACwH2oUQtwfbKn1RXcCb8r2bQogIWfH+jpTy6aDb4xPXAX8ghHibbKrsPwsh/jnYJnlOP9AvpcxFWN8nK+iNzE3AW1LKQSllCngauDbgNvnJaSHEMoCZ/z/j5I+pLuCz790UQkTJTnb8KOA2eYoQQpDNiR6QUn4t6Pb4hZTyM1LKlVLK1WTv8y+klA3tzKSUp4DjQohLZj66EXg9wCb5wTHgaiFE20xfv5EGn7gt4EfAnTP/fSfwr07+mKNXqnlNk7538zrgE8A+IcSrM5/9zczr6wyNx18C35kxKEeBuwJuj6dIKV8WQnwf2EO24movDbqkXgjxXeADwCIhRD/wBeBBYLsQ4k/IDma3OTqGWUpvMBgMeqJ6CsVgMBgMJTACbjAYDJpiBNxgMBg0xQi4wWAwaIoRcIPBYNAUI+AGg8GgKUbADQaDQVP+f5+stMz1jNNoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(points[:, 0], points[:, 1], s=50, alpha=0.5)\n",
    "plt.plot(centroids[:, 0], centroids[:, 1], 'kx', markersize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def closest_centroids(points, centroids):\n",
    "    distances = tf.reduce_sum(tf.square(tf.subtract(points, centroids[:,None])), 2)\n",
    "    assignments = tf.argmin(distances, 0)\n",
    "    return assignments\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def move_centroids(points, closest, centroids):\n",
    "    return np.array([points[closest==k].mean(axis=0) for k in range(centroids.shape[0])])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "for step in range(iteration_n):\n",
    "    closest = closest_centroids(points, centroids)\n",
    "    centroids = move_centroids(points, closest, centroids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "centroids [[2.3805468  3.4855907 ]\n",
      " [7.52317326 2.97237534]\n",
      " [4.38131768 8.07214821]]\n"
     ]
    }
   ],
   "source": [
    "print(\"centroids\", centroids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(points[:, 0], points[:, 1], c=closest, s=50, alpha=0.5)\n",
    "plt.plot(centroids[:, 0], centroids[:, 1], 'kx', markersize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:new_tf]",
   "language": "python",
   "name": "conda-env-new_tf-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
